Solve for the remaining angles and side of the one triangle that can be created. Round to the nearest hundredth: C = 95°, c = 8, b = 5

Question

Need to know big B degrees, Big A and little a. Solve step by step to get answer

Answer 1

Since angle C and side c is known, and side b is known, you can use law of sine to find angle B.

 

c / Sin(C) = b / Sin(B)

 

bSin(C) = cSin(B)

 

bSin(C) / c = Sin(B)

 

 

Plug in the known values to find Sin(B).  Then take the inverse sine of the result to find angle B.

 

Then to find the last angle,

 

A = 180 - B - C

 

 

Finally, use law of cosine to find the missing and third side.

 

a² = b² + c² - 2bcCos(A)